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Finding the Fourth Proportional to 12,781.70, 19,175.73 and 10,159.10

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Solution

The fourth proportional to 12,781.70, 19,175.73 and 10,159.10 is: 15,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.70 : 19,175.73 = 10,159.10 : x
  2. Step 2: Convert to fraction form
    12,781.70/19,175.73 = 10,159.10/x
  3. Step 3: Cross multiply
    12,781.70x = 19,175.73 × 10,159.10
  4. Step 4: Simplify right side
    12,781.70x = 194,808,158.64
  5. Step 5: Solve for x
    x = 194,808,158.64/12,781.70
  6. Step 6: Final answer
    x = 15,241.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.